In the first step, I turned on "snap" and created two rows of 8 blocks. Then I changed the textures and alternated between light and dark.
In part 2, I copied the two rows and pasted them 4 times to create a basic checkerboard.
In part 3 I added a block that extended beyond the edges of the squares and lowered it just slightly so the squares stuck out of the surface.
In the final step, I filleted (rounded) the edges of the block (see above).
You can add texture, gloss, color, etc. and even lighting, background, etc.
Next I would like you to add checkers. You can either create a checker with the Cylinder tool, or with the Revolve command (as seen in the examples below). Notice that there are 12 of each color and that they sit on the dark squares.Below are various styles of checkerboards including some that have been made into tables. Note the different colors, textures, materials, etc. Checkerboards can be made in stone, metal, wood, fabric, etc.
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